## Probability, Geometry and Integrable SystemsThe three main themes of this book, probability theory, differential geometry, and the theory of integrable systems, reflect the broad range of mathematical interests of Henry McKean, to whom it is dedicated. Written by experts in probability, geometry, integrable systems, turbulence, and percolation, the seventeen papers included here demonstrate a wide variety of techniques that have been developed to solve various mathematical problems in these areas. The topics are often combined in an unusual and interesting fashion to give solutions outside of the standard methods. The papers contain some exciting results and offer a guide to the contemporary literature on these subjects. |

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abelian varieties algebraic Arov and Dym asymptotic Barsotti Birnir Borwein boundary Brownian motions Camassa–Holm Camia and Newman canonical ensemble coefﬁcients compute concave conformally invariant convergence corresponding Costeniuc curve deﬁned deﬁnition denote differential equations domain doms eigenfunctions eigenvalue elliptic Ellis equilibrium macrostates exists explicit ﬁeld ﬁnd ﬁnite ﬁrst ﬂow ﬂuid formula Gaussian ensemble genus given Hamiltonian inﬁnite Integrable Systems invariant measure inverse KP equation KP solutions Landen transformation lattice Lax pair Lemma linear loops Math mathematical matrix microcanonical ensemble Moll mvf's nonequivalence nonlinear Novikov orthogonal polynomials p-moment pair parameters Phys points potential probability problem proof random random matrices result Riemann surface rip currents satisﬁes scaling limit Schršodinger Section sine-Gordon singular solutions SLE6 soliton space statistical stochastic strictly supporting line sufﬁcient Theorem theory theta functions turbulence variables vector Vlasov wave white noise

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Page 395 - FJ Dyson. A Brownian-motion model for the eigenvalues of a random matrix, J.